Question

Identify the equation of the graph

Answer 1

I will explain how to get the solution using the text and look at the image as well as I’m using it to explain my process.

Step 1: Write the equation for slope-intercept form which is y=mx + b

Step 2: FIND SLOPE. M means slope in mathematics and the formula for that is rise divided by run. Which actually means y2 - y 1 divided by x2 - x1. If you are wondering what those are, they are points in the graph. It doesn’t matter which point you choose but you’ll see which ones I chose in the image. Follow the steps there

Step 3: FIND Y INTERCEPT: this step is easy because you are provided with a graph so you don’t have to find the y intercept algebraically. The y intercept is where the graph touch’s the y axis. In your case, it is at -4.

Step 4: CREATE THE EQUATION.
Refer to step one and re write the equation for slope intercept form: y=mx + b. Replace m with -2 and b with -4. So your equation looks like this: y= -2x -4